TY - EJOU
AU - Aziz-Ur-Rehman,
AU - Riaz, Muhammad Bilal
AU - Saeed, Syed Tauseef
AU - Yao, Shaowen
TI - Dynamical Analysis of Radiation and Heat Transfer on MHD Second Grade Fluid
T2 - Computer Modeling in Engineering \& Sciences
PY - 2021
VL - 129
IS - 2
SN - 1526-1506
AB - Convective flow is a self-sustained flow with the effect of the temperature gradient. The density is non-uniform due
to the variation of temperature. The effect of the magnetic flux plays a major role in convective flow. The process
of heat transfer is accompanied by a mass transfer process; for instance, condensation, evaporation, and chemical
process. Due to the applications of the heat and mass transfer combined effects in a different field, the main aim
of this paper is to do a comprehensive analysis of heat and mass transfer of MHD unsteady second-grade fluid
in the presence of ramped boundary conditions near a porous surface. The dynamical analysis of heat transfer is
based on classical differentiation with no memory effects. The non-dimensional form of the governing equations
of the model is developed. These are solved by the classical integral (Laplace) transform technique/method with
the convolution theorem and closed-form solutions are attained for temperature, concentration, and velocity. The
physical aspects of distinct parameters are discussed via graph to see the influence on the fluid concentration,
velocity, and temperature. Our results suggest that the velocity profile decrease by increasing the Prandtl number.
The existence of a Prandtl number may reflect the control of the thickness of momentum and enlargement of
thermal conductivity. Furthermore, to validate our results, some results are recovered from the literature.
KW - Heat transfer; magnetic effect; ramped conditions; porous medium; Laplace transform; thermal radiation
DO - 10.32604/cmes.2021.014980